Vitya has just started learning Berlanese language. It is known that Berlanese uses the Latin alphabet. Vowel letters are "_a_", "_o_", "_u_", "_i_", and "_e_". Other letters are consonant.
In Berlanese, there has to be a vowel after every consonant, but there can be any letter after any vowel. The only exception is a consonant "_n_"; after this letter, there can be any letter (not only a vowel) or there can be no letter at all. For example, the words "_harakiri_", "_yupie_", "_man_", and "_nbo_" are Berlanese while the words "_horse_", "_king_", "_my_", and "_nz_" are not.
Help Vitya find out if a word $s$ is Berlanese.
## Input
The first line of the input contains the string $s$ consisting of $|s|$ ($1\leq |s|\leq 100$) lowercase Latin letters.
## Output
Print "_YES_" (without quotes) if there is a vowel after every consonant except "_n_", otherwise print "_NO_".
You can print each letter in any case (upper or lower).
[samples]
## Note
In the first and second samples, a vowel goes after each consonant except "_n_", so the word is Berlanese.
In the third sample, the consonant "_c_" goes after the consonant "_r_", and the consonant "_s_" stands on the end, so the word is not Berlanese.
Vitya 刚刚开始学习 Berlanese 语言。已知 Berlanese 使用拉丁字母。元音字母为 "_a_"、"_o_"、"_u_"、"_i_" 和 "_e_"。其他字母均为辅音。
在 Berlanese 中,每个辅音后必须紧跟一个元音,但元音后可以跟任意字母。唯一的例外是辅音 "_n_":在其后可以跟任意字母(不一定是元音),也可以没有字母。例如,单词 "_harakiri_"、"_yupie_"、"_man_" 和 "_nbo_" 是 Berlanese 词,而 "_horse_"、"_king_"、"_my_" 和 "_nz_" 则不是。
请帮助 Vitya 判断一个单词 $s$ 是否为 Berlanese 词。
输入的第一行包含一个字符串 $s$,由 $| s |$($1 lt.eq | s | lt.eq 100$)个小写拉丁字母组成。
如果每个辅音(除了 "_n_")后面都紧跟一个元音,则输出 "_YES_"(不带引号);否则输出 "_NO_"。
你可以以任意大小写形式输出每个字母。
在第一个和第二个样例中,每个辅音(除了 "_n_")后面都跟了一个元音,因此该词是 Berlanese 词。
在第三个样例中,辅音 "_c_" 出现在辅音 "_r_" 之后,且辅音 "_s_" 位于词尾,因此该词不是 Berlanese 词。
## Input
输入的第一行包含一个字符串 $s$,由 $| s |$($1 lt.eq | s | lt.eq 100$)个小写拉丁字母组成。
## Output
如果每个辅音(除了 "_n_")后面都紧跟一个元音,则输出 "_YES_"(不带引号);否则输出 "_NO_"。你可以以任意大小写形式输出每个字母。
[samples]
## Note
在第一个和第二个样例中,每个辅音(除了 "_n_")后面都跟了一个元音,因此该词是 Berlanese 词。在第三个样例中,辅音 "_c_" 出现在辅音 "_r_" 之后,且辅音 "_s_" 位于词尾,因此该词不是 Berlanese 词。
**Definitions**
Let $ s = s_1 s_2 \dots s_{|s|} $ be a string of length $ |s| \in \mathbb{Z}^+ $, where each $ s_i \in \{a, b, \dots, z\} $.
Let $ V = \{a, e, i, o, u\} $ be the set of vowels.
Let $ C = \{b, c, d, f, g, h, j, k, l, m, n, p, q, r, s, t, v, w, x, y, z\} $ be the set of consonants.
Let $ N = \{n\} \subset C $ be the special consonant.
**Constraints**
$ 1 \leq |s| \leq 100 $
**Objective**
Determine whether $ s $ is a Berlanese word, i.e., for every position $ i \in \{1, \dots, |s|\} $:
- If $ s_i \in C \setminus N $, then either:
- $ i < |s| $ and $ s_{i+1} \in V $, or
- $ i = |s| $ (invalid — no vowel follows).
- If $ s_i = n $, no restriction on $ s_{i+1} $.
- If $ s_i \in V $, no restriction.
**Output**
$$
\begin{cases}
\text{YES} & \text{if } \forall i \in \{1, \dots, |s|\},\ s_i \in C \setminus N \implies (i < |s| \land s_{i+1} \in V) \\
\text{NO} & \text{otherwise}
\end{cases}
$$